The decay constant \( \lambda \) represents the probability per unit time that a nucleus will decay. Therefore, its unit is the reciprocal of time.
In the SI system, this is expressed as:
\[
[\lambda] = \text{s}^{-1},
\]
which is also equivalent to hertz (Hz), the unit of frequency. This reflects the fact that decay is a stochastic process characterized by a rate of events per second.